Expression of type ExprTuple

from the theory of proveit.linear_algebra.tensors

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, fi, gamma, i, x, y, z
from proveit.linear_algebra import ScalarMult, TensorProd, VecSum
from proveit.numbers import Interval, four, two

# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = Interval(two, four)
sub_expr3 = TensorProd(x, y, fi, z)
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = ScalarMult(gamma, sub_expr3), domain = sub_expr2), ScalarMult(gamma, VecSum(index_or_indices = sub_expr1, summand = sub_expr3, domain = sub_expr2)))

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(\sum_{i=2}^{4} \left(\gamma \cdot \left(x {\otimes} y {\otimes} f\left(i\right) {\otimes} z\right)\right), \gamma \cdot \left(\sum_{i=2}^{4} \left(x {\otimes} y {\otimes} f\left(i\right) {\otimes} z\right)\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 8 operand: 5
2	Operation	operator: 12 operands: 4
3	ExprTuple	5
4	ExprTuple	15, 6
5	Lambda	parameter: 31 body: 7
6	Operation	operator: 8 operand: 11
7	Conditional	value: 10 condition: 17
8	Literal
9	ExprTuple	11
10	Operation	operator: 12 operands: 13
11	Lambda	parameter: 31 body: 14
12	Literal
13	ExprTuple	15, 16
14	Conditional	value: 16 condition: 17
15	Variable
16	Operation	operator: 18 operands: 19
17	Operation	operator: 20 operands: 21
18	Literal
19	ExprTuple	22, 23, 24, 25
20	Literal
21	ExprTuple	31, 26
22	Variable
23	Variable
24	Operation	operator: 27 operand: 31
25	Variable
26	Operation	operator: 29 operands: 30
27	Variable
28	ExprTuple	31
29	Literal
30	ExprTuple	32, 33
31	Variable
32	Literal
33	Literal